"I tried to cover my daughter-in-law, who is pregnant, to protect her but some of the debris fell on her back".
These accounts are very much in line with the social attachment theory (Mawson, 2005; 2007), which argues that in emergencies people don't tend to 'panic', but seek out familiar attachment figures (e.g. friends or family), and tend to evacuate as groups. The idea that people will 'stampede' to save themselves is not supported by evidence. Work I have done with survivors of mass emergencies (Drury & Cocking, 2007; Drury et al. 2009) has supported social attachment theory. We also found that disasters can create a sense of shared identity, meaning that strangers can and do co-operate with each other in life-threatening situations. Finally, in a previous post I looked at coverage of a fire in a packed nightclub in Brazil, in January 2013, and argued that we should be careful not to rush to describe people's behaviour in such situations as 'panic', as it could deflect blame for possible negligence on the part of those responsible for the safe management of such events.
Chertkoff, J.M. & Kushigian, R.H. (1999). Don’t panic: The psychology of emergency egress and ingress. Westport, CT: Praeger,
Drury, J. and Cocking, C. (2007). The mass psychology of disasters and emergency evacuations: A research report and implications for practice. http://www.sussex.ac.uk/affiliates/panic/Disasters%20and%20emergency%20evacuations%20(2007).pdf